Subgroups — #60299

Order 256.

863 conjugacy classes of subgroups.

The subgroup lattice has 849 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#3475	C₂	1	1	yes	maximal, characteristic
2	#2995	C₂	1	1	yes	maximal, characteristic, complemented
3	#2995	C₂	1	1	yes	maximal, characteristic, complemented
4	#2994	C₂	1	1	yes	maximal, characteristic, complemented
5	#2993	C₂	1	1	yes	maximal, characteristic, complemented
6	#2992	C₂	1	1	yes	maximal, characteristic, complemented
7	#2992	C₂	1	1	yes	maximal, characteristic, complemented
8	#2990	C₂	1	1	yes	maximal, characteristic, complemented
9	#2989	C₂	1	1	yes	maximal, characteristic, complemented
10	#2987	C₂	1	1	yes	maximal, characteristic, complemented
11	#2985	C₂	1	1	yes	maximal, characteristic, complemented
12	#2978	C₂	1	1	yes	maximal, characteristic, complemented
13	#2977	C₂	1	1	yes	maximal, characteristic, complemented
14	#2976	C₂	1	1	yes	maximal, characteristic, complemented
15	#2976	C₂	1	1	yes	maximal, characteristic, complemented
16	#2974	C₂	1	1	yes	maximal, characteristic, complemented
17	#2973	C₂	1	1	yes	maximal, characteristic, complemented
18	#2970	C₂	1	1	yes	maximal, characteristic, complemented
19	#2969	C₂	1	1	yes	maximal, characteristic, complemented
20	#2968	C₂	1	1	yes	maximal, characteristic, complemented
21	#2968	C₂	1	1	yes	maximal, characteristic, complemented
22	#2967	C₂	1	1	yes	maximal, characteristic, complemented
23	#2967	C₂	1	1	yes	maximal, characteristic, complemented
24	#2966	C₂	1	1	yes	maximal, characteristic, complemented
25	#2965	C₂	1	1	yes	maximal, characteristic, complemented
26	#2925	C₂	1	1	yes	maximal, characteristic, complemented
27	#2924	C₂	1	1	yes	maximal, characteristic, complemented
28	#2924	C₂	1	1	yes	maximal, characteristic, complemented
29	#2923	C₂	1	1	yes	maximal, characteristic, complemented
30	#2921	C₂	1	1	yes	maximal, characteristic, complemented
31	C₂×#433	C₂	1	1	yes	maximal, characteristic, complemented
32	#556	C₄	1	1	yes	characteristic
33	#555	C₄	1	1	yes	characteristic
34	#554	C₄	1	1	yes	characteristic
35	#553	C₄	1	1	yes	characteristic
36	#553	C₄	1	1	yes	characteristic
37	#552	C₄	1	1	yes	characteristic
38	#552	C₄	1	1	yes	characteristic
39	#552	C₄	1	1	yes	characteristic
40	#552	C₄	1	1	yes	characteristic
41	#551	C₄	1	1	yes	characteristic
42	#551	C₄	1	1	yes	characteristic
43	#551	C₄	1	1	yes	characteristic
44	#551	C₄	1	1	yes	characteristic
45	#547	C₄	1	1	yes	characteristic
46	#546	C₄	1	1	yes	characteristic
47	#546	C₄	1	1	yes	characteristic
48	#533	C₂²	1	1	yes	characteristic
49	#529	C₂²	1	1	yes	characteristic
50	#529	C₂²	1	1	yes	characteristic
51	#529	C₂²	1	1	yes	characteristic
52	#529	C₂²	1	1	yes	characteristic
53	#529	C₂²	1	1	yes	characteristic
54	#529	C₂²	1	1	yes	characteristic
55	#525	C₂²	1	1	yes	characteristic
56	#525	C₂²	1	1	yes	characteristic
57	C₄×#41	C₂²	1	1	yes	characteristic
58	C₄×#41	C₂²	1	1	yes	characteristic
59	C₄×#41	C₂²	1	1	yes	characteristic
60	C₂×C₄×D₄	C₂²	1	1	yes	characteristic
61	C₂×#117	C₂²	1	1	yes	characteristic
62	C₂×#117	C₂²	1	1	yes	characteristic
63	#446	C₂²	1	1	yes	characteristic, complemented
64	#446	C₂²	1	1	yes	characteristic, complemented
65	#446	C₂²	1	1	yes	characteristic, complemented
66	#446	C₂²	1	1	yes	characteristic, complemented
67	#446	C₂²	1	1	yes	characteristic, complemented
68	#446	C₂²	1	1	yes	characteristic, complemented
69	#446	C₂²	1	1	yes	characteristic, complemented
70	#446	C₂²	1	1	yes	characteristic, complemented
71	#446	C₂²	1	1	yes	characteristic, complemented
72	#446	C₂²	1	1	yes	characteristic, complemented
73	#446	C₂²	1	1	yes	characteristic, complemented
74	#446	C₂²	1	1	yes	characteristic, complemented
75	#446	C₂²	1	1	yes	characteristic, complemented
76	#446	C₂²	1	1	yes	characteristic, complemented
77	C₈×Q₈	C₂²	1	1	yes	characteristic, complemented
78	C₈×Q₈	C₂²	1	1	yes	characteristic, complemented
79	#436	C₂²	1	1	yes	characteristic
80	#436	C₂²	1	1	yes	characteristic
81	#436	C₂²	1	1	yes	characteristic, complemented
82	#436	C₂²	1	1	yes	characteristic, complemented
83	#436	C₂²	1	1	yes	characteristic, complemented
84	#436	C₂²	1	1	yes	characteristic, complemented
85	#436	C₂²	1	1	yes	characteristic, complemented
86	#436	C₂²	1	1	yes	characteristic, complemented
87	#436	C₂²	1	1	yes	characteristic, complemented
88	#436	C₂²	1	1	yes	characteristic, complemented
89	#435	C₂²	1	1	yes	characteristic
90	#435	C₂²	1	1	yes	characteristic
91	#435	C₂²	1	1	yes	characteristic
92	#435	C₂²	1	1	yes	characteristic
93	#435	C₂²	1	1	yes	characteristic
94	#435	C₂²	1	1	yes	characteristic
95	#435	C₂²	1	1	yes	characteristic
96	#435	C₂²	1	1	yes	characteristic
97	#435	C₂²	1	1	yes	characteristic
98	#435	C₂²	1	1	yes	characteristic
99	#435	C₂²	1	1	yes	characteristic
100	#435	C₂²	1	1	yes	characteristic
101	#435	C₂²	1	1	yes	characteristic, complemented
102	#435	C₂²	1	1	yes	characteristic, complemented
103	#435	C₂²	1	1	yes	characteristic, complemented
104	#435	C₂²	1	1	yes	characteristic, complemented
105	#435	C₂²	1	1	yes	characteristic, complemented
106	#435	C₂²	1	1	yes	characteristic, complemented
107	#435	C₂²	1	1	yes	characteristic, complemented
108	#435	C₂²	1	1	yes	characteristic, complemented
109	#435	C₂²	1	1	yes	characteristic, complemented
110	#435	C₂²	1	1	yes	characteristic, complemented
111	#435	C₂²	1	1	yes	characteristic, complemented
112	#435	C₂²	1	1	yes	characteristic, complemented
113	#435	C₂²	1	1	yes	characteristic, complemented
114	#435	C₂²	1	1	yes	characteristic, complemented
115	#435	C₂²	1	1	yes	characteristic, complemented
116	#435	C₂²	1	1	yes	characteristic, complemented
117	C₈×D₄	C₂²	1	1	yes	characteristic
118	C₈×D₄	C₂²	1	1	yes	characteristic
119	C₈×D₄	C₂²	1	1	yes	characteristic, complemented
120	C₈×D₄	C₂²	1	1	yes	characteristic, complemented
121	C₈×D₄	C₂²	1	1	yes	characteristic, complemented
122	C₈×D₄	C₂²	1	1	yes	characteristic, complemented
123	C₈×D₄	C₂²	1	1	yes	characteristic, complemented
124	C₈×D₄	C₂²	1	1	yes	characteristic, complemented
125	C₈×D₄	C₂²	1	1	yes	characteristic, complemented
126	C₈×D₄	C₂²	1	1	yes	characteristic, complemented
127	#433	C₂²	1	1	yes	characteristic
128	#433	C₂²	1	1	yes	characteristic
129	#433	C₂²	1	1	yes	characteristic
130	#433	C₂²	1	1	yes	characteristic
131	#433	C₂²	1	1	yes	characteristic
132	#433	C₂²	1	1	yes	characteristic
133	#433	C₂²	1	1	yes	characteristic
134	#433	C₂²	1	1	yes	characteristic
135	#433	C₂²	1	1	yes	characteristic
136	#433	C₂²	1	1	yes	characteristic
137	#433	C₂²	1	1	yes	characteristic
138	#433	C₂²	1	1	yes	characteristic
139	#433	C₂²	1	1	yes	characteristic, complemented
140	#433	C₂²	1	1	yes	characteristic, complemented
141	#433	C₂²	1	1	yes	characteristic, complemented
142	#433	C₂²	1	1	yes	characteristic, complemented
143	#433	C₂²	1	1	yes	characteristic, complemented
144	#433	C₂²	1	1	yes	characteristic, complemented
145	#433	C₂²	1	1	yes	characteristic, complemented
146	#433	C₂²	1	1	yes	characteristic, complemented
147	#433	C₂²	1	1	yes	characteristic, complemented
148	#433	C₂²	1	1	yes	characteristic, complemented
149	#433	C₂²	1	1	yes	characteristic, complemented
150	#433	C₂²	1	1	yes	characteristic, complemented
151	#432	C₂²	1	1	yes	characteristic
152	#432	C₂²	1	1	yes	characteristic
153	#432	C₂²	1	1	yes	characteristic
154	#432	C₂²	1	1	yes	characteristic, complemented
155	#432	C₂²	1	1	yes	characteristic, complemented
156	#432	C₂²	1	1	yes	characteristic, complemented
157	#432	C₂²	1	1	yes	characteristic, complemented
158	#432	C₂²	1	1	yes	characteristic, complemented
159	#432	C₂²	1	1	yes	characteristic, complemented
160	#432	C₂²	1	1	yes	characteristic, complemented
161	#431	C₂²	1	1	yes	characteristic
162	#431	C₂²	1	1	yes	characteristic, complemented
163	#431	C₂²	1	1	yes	characteristic, complemented
164	#431	C₂²	1	1	yes	characteristic, complemented
165	#431	C₂²	1	1	yes	characteristic, complemented
166	#431	C₂²	1	1	yes	characteristic, complemented
167	#424	C₂²	1	1	yes	characteristic, complemented
168	#424	C₂²	1	1	yes	characteristic, complemented
169	#424	C₂²	1	1	yes	characteristic, complemented
170	#424	C₂²	1	1	yes	characteristic, complemented
171	#424	C₂²	1	1	yes	characteristic, complemented
172	#424	C₂²	1	1	yes	characteristic, complemented
173	#423	C₂²	1	1	yes	characteristic, complemented
174	#423	C₂²	1	1	yes	characteristic, complemented
175	#423	C₂²	1	1	yes	characteristic, complemented
176	C₂×C₄⋊C₈	C₂²	1	1	yes	characteristic, complemented
177	C₂×C₄⋊C₈	C₂²	1	1	yes	characteristic, complemented
178	C₂×C₄⋊C₈	C₂²	1	1	yes	characteristic, complemented
179	#408	C₂²	1	1	yes	characteristic
180	#408	C₂²	1	1	yes	characteristic
181	#408	C₂²	1	1	yes	characteristic
182	#408	C₂²	1	1	yes	characteristic
183	#407	C₂²	1	1	yes	characteristic
184	#407	C₂²	1	1	yes	characteristic
185	#407	C₂²	1	1	yes	characteristic
186	#407	C₂²	1	1	yes	characteristic
187	C₂×C₂²⋊C₈	C₂²	1	1	yes	characteristic
188	C₂×C₂²⋊C₈	C₂²	1	1	yes	characteristic
189	C₂×C₂²⋊C₈	C₂²	1	1	yes	characteristic
190	C₂×C₂²⋊C₈	C₂²	1	1	yes	characteristic
191	#405	C₂²	1	1	yes	characteristic, complemented
192	#405	C₂²	1	1	yes	characteristic, complemented
193	#405	C₂²	1	1	yes	characteristic, complemented
194	#405	C₂²	1	1	yes	characteristic, complemented
195	#405	C₂²	1	1	yes	characteristic, complemented
196	#405	C₂²	1	1	yes	characteristic, complemented
197	C₄×M₁₆	C₂²	1	1	yes	characteristic, complemented
198	C₄×M₁₆	C₂²	1	1	yes	characteristic, complemented
199	C₄×M₁₆	C₂²	1	1	yes	characteristic, complemented
200	C₂×#97	C₂²	1	1	yes	characteristic, complemented
201	C₂×#97	C₂²	1	1	yes	characteristic, complemented
202	C₂×C₄×C₈	C₂²	1	1	yes	characteristic, complemented
203	C₂×#41	C₂×C₄	1	1	yes	characteristic
204	C₂×#41	C₂×C₄	1	1	yes	characteristic
205	C₂×#41	C₂³	1	1	yes	characteristic
206	C₂²×D₄	C₂×C₄	1	1	yes	characteristic
207	C₂³×C₄	C₂³	1	1	yes	characteristic
208	C₂³×C₄	C₂³	1	1	yes	characteristic
209	C₂×M₁₆	C₂³	1	1	yes	characteristic
210	C₂×M₁₆	C₂³	1	1	yes	characteristic
211	C₂×M₁₆	C₂³	1	1	yes	characteristic
212	C₂×M₁₆	C₂³	1	1	yes	characteristic
213	C₂×M₁₆	C₂³	1	1	yes	characteristic
214	C₂×M₁₆	C₂³	1	1	yes	characteristic
215	C₂×M₁₆	C₂³	1	1	yes	characteristic
216	C₂×M₁₆	C₂³	1	1	yes	characteristic
217	C₂×M₁₆	C₂³	1	1	yes	characteristic
218	C₂×M₁₆	C₂³	1	1	yes	characteristic
219	C₂×M₁₆	C₂³	1	1	yes	characteristic
220	C₂×M₁₆	C₂³	1	1	yes	characteristic
221	C₂²×C₈	C₂³	1	1	yes	characteristic
222	C₂²×C₈	C₂³	1	1	yes	characteristic
223	C₂²×C₈	C₂³	1	1	yes	characteristic
224	C₂²×C₈	C₂³	1	1	yes	characteristic
225	C₂²×C₈	C₂³	1	1	yes	characteristic
226	C₂²×C₈	C₂³	1	1	yes	characteristic
227	C₂²×C₈	C₂³	1	1	yes	characteristic
228	C₂²×C₈	C₂³	1	1	yes	characteristic
229	C₂²×C₈	C₂³	1	1	yes	characteristic
230	C₂²×C₈	C₂³	1	1	yes	characteristic
231	C₂²×C₈	C₂³	1	1	yes	characteristic
232	C₂²×C₈	C₂³	1	1	yes	characteristic
233	C₄⋊Q₈	C₂×C₄	1	1	yes	characteristic
234	C₄⋊Q₈	C₂×C₄	1	1	yes	characteristic
235	#126	C₂×C₄	1	1	yes	characteristic
236	#126	C₂×C₄	1	1	yes	characteristic
237	#126	C₂×C₄	1	1	yes	characteristic
238	#126	C₂×C₄	1	1	yes	characteristic
239	#126	C₂×C₄	1	1	yes	characteristic
240	#126	C₂×C₄	1	1	yes	characteristic
241	#126	C₂×C₄	1	1	yes	characteristic
242	#126	C₂×C₄	1	1	yes	characteristic
243	#126	C₂×C₄	1	1	yes	characteristic
244	#126	C₂×C₄	1	1	yes	characteristic
245	#126	C₂×C₄	1	1	yes	characteristic
246	#126	C₂×C₄	1	1	yes	characteristic
247	#125	C₂×C₄	1	1	yes	characteristic
248	#125	C₂×C₄	1	1	yes	characteristic
249	#125	C₂×C₄	1	1	yes	characteristic
250	#125	C₂×C₄	1	1	yes	characteristic
251	#125	C₂×C₄	1	1	yes	characteristic
252	#125	C₂×C₄	1	1	yes	characteristic
253	#125	C₂×C₄	1	1	yes	characteristic
254	#125	C₂×C₄	1	1	yes	characteristic
255	#124	C₂×C₄	1	1	yes	characteristic
256	#124	C₂×C₄	1	1	yes	characteristic
257	#124	C₂×C₄	1	1	yes	characteristic
258	#124	C₂×C₄	1	1	yes	characteristic
259	#124	C₂×C₄	1	1	yes	characteristic
260	#124	C₂×C₄	1	1	yes	characteristic
261	#123	C₂×C₄	1	1	yes	characteristic
262	#123	C₂×C₄	1	1	yes	characteristic
263	#123	C₂×C₄	1	1	yes	characteristic
264	#123	C₂×C₄	1	1	yes	characteristic
265	#123	C₂×C₄	1	1	yes	characteristic
266	#123	C₂×C₄	1	1	yes	characteristic
267	#123	C₂×C₄	1	1	yes	characteristic
268	#123	C₂×C₄	1	1	yes	characteristic
269	#123	C₂×C₄	1	1	yes	characteristic
270	#123	C₂×C₄	1	1	yes	characteristic
271	#123	C₂×C₄	1	1	yes	characteristic
272	#123	C₂×C₄	1	1	yes	characteristic
273	#123	C₂×C₄	1	1	yes	characteristic
274	#123	C₂×C₄	1	1	yes	characteristic
275	#123	C₂×C₄	1	1	yes	characteristic
276	#123	C₂×C₄	1	1	yes	characteristic
277	C₂²⋊Q₈	C₂×C₄	1	1	yes	characteristic
278	C₂²⋊Q₈	C₂×C₄	1	1	yes	characteristic
279	C₂²⋊Q₈	C₂×C₄	1	1	yes	characteristic
280	C₂²⋊Q₈	C₂×C₄	1	1	yes	characteristic
281	C₂²⋊Q₈	C₂×C₄	1	1	yes	characteristic
282	C₂²⋊Q₈	C₂×C₄	1	1	yes	characteristic
283	C₂²⋊Q₈	C₂×C₄	1	1	yes	characteristic
284	C₂²⋊Q₈	C₂×C₄	1	1	yes	characteristic
285	C₂²⋊Q₈	C₂×C₄	1	1	yes	characteristic
286	C₂²⋊Q₈	C₂×C₄	1	1	yes	characteristic
287	C₂²⋊Q₈	C₂×C₄	1	1	yes	characteristic
288	C₂²⋊Q₈	C₂×C₄	1	1	yes	characteristic
289	C₂²⋊Q₈	C₂×C₄	1	1	yes	characteristic
290	C₂²⋊Q₈	C₂×C₄	1	1	yes	characteristic
291	#121	C₂×C₄	1	1	yes	characteristic
292	#121	C₂×C₄	1	1	yes	characteristic
293	#121	C₂×C₄	1	1	yes	characteristic
294	#121	C₂×C₄	1	1	yes	characteristic
295	#121	C₂×C₄	1	1	yes	characteristic
296	#121	C₂×C₄	1	1	yes	characteristic
297	#121	C₂×C₄	1	1	yes	characteristic
298	#121	C₂×C₄	1	1	yes	characteristic
299	#121	C₂×C₄	1	1	yes	characteristic
300	#121	C₂×C₄	1	1	yes	characteristic
301	#120	C₂×C₄	1	1	yes	characteristic
302	#120	C₂×C₄	1	1	yes	characteristic
303	#120	C₂×C₄	1	1	yes	characteristic
304	#120	C₂×C₄	1	1	yes	characteristic
305	C₄×Q₈	C₂×C₄	1	1	yes	characteristic
306	C₄×Q₈	C₂×C₄	1	1	yes	characteristic
307	C₄×Q₈	C₂×C₄	1	1	yes	characteristic
308	C₄×Q₈	C₂×C₄	1	1	yes	characteristic
309	C₄×Q₈	C₂³	1	1	yes	characteristic
310	C₄×Q₈	C₂³	1	1	yes	characteristic
311	C₄×Q₈	C₂³	1	1	yes	characteristic
312	C₄×Q₈	C₂³	1	1	yes	characteristic
313	C₄×D₄	C₂×C₄	1	1	yes	characteristic
314	C₄×D₄	C₂×C₄	1	1	yes	characteristic
315	C₄×D₄	C₂×C₄	1	1	yes	characteristic
316	C₄×D₄	C₂×C₄	1	1	yes	characteristic
317	C₄×D₄	C₂×C₄	1	1	yes	characteristic
318	C₄×D₄	C₂×C₄	1	1	yes	characteristic
319	C₄×D₄	C₂×C₄	1	1	yes	characteristic
320	C₄×D₄	C₂×C₄	1	1	yes	characteristic
321	C₄×D₄	C₂×C₄	1	1	yes	characteristic
322	C₄×D₄	C₂×C₄	1	1	yes	characteristic
323	C₄×D₄	C₂×C₄	1	1	yes	characteristic
324	C₄×D₄	C₂×C₄	1	1	yes	characteristic
325	C₄×D₄	C₂×C₄	1	1	yes	characteristic
326	C₄×D₄	C₂×C₄	1	1	yes	characteristic
327	C₄×D₄	C₂×C₄	1	1	yes	characteristic
328	C₄×D₄	C₂×C₄	1	1	yes	characteristic
329	C₄×D₄	C₂³	1	1	yes	characteristic
330	C₄×D₄	C₂³	1	1	yes	characteristic
331	C₄×D₄	C₂³	1	1	yes	characteristic
332	C₄×D₄	C₂³	1	1	yes	characteristic
333	C₄×D₄	C₂³	1	1	yes	characteristic
334	C₄×D₄	C₂³	1	1	yes	characteristic
335	C₄×D₄	C₂³	1	1	yes	characteristic
336	C₄×D₄	C₂³	1	1	yes	characteristic
337	C₄×D₄	C₂³	1	1	yes	characteristic
338	C₄×D₄	C₂³	1	1	yes	characteristic
339	C₄×D₄	C₂³	1	1	yes	characteristic
340	C₄×D₄	C₂³	1	1	yes	characteristic
341	#117	C₂×C₄	1	1	yes	characteristic
342	#117	C₂×C₄	1	1	yes	characteristic
343	#117	C₂×C₄	1	1	yes	characteristic
344	#117	C₂×C₄	1	1	yes	characteristic
345	#117	C₂×C₄	1	1	yes	characteristic
346	#117	C₂×C₄	1	1	yes	characteristic
347	#117	C₂×C₄	1	1	yes	characteristic
348	#117	C₂×C₄	1	1	yes	characteristic
349	#117	C₂×C₄	1	1	yes	characteristic
350	#117	C₂×C₄	1	1	yes	characteristic
351	#117	C₂×C₄	1	1	yes	characteristic
352	#117	C₂×C₄	1	1	yes	characteristic
353	#117	C₂×C₄	1	1	yes	characteristic
354	#117	C₂×C₄	1	1	yes	characteristic
355	#117	C₂³	1	1	yes	characteristic
356	#117	C₂³	1	1	yes	characteristic
357	#117	C₂³	1	1	yes	characteristic
358	#117	C₂³	1	1	yes	characteristic
359	#117	C₂³	1	1	yes	characteristic
360	#117	C₂³	1	1	yes	characteristic
361	#117	C₂³	1	1	yes	characteristic
362	#117	C₂³	1	1	yes	characteristic
363	#117	C₂³	1	1	yes	characteristic
364	C₂×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic
365	C₂×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic
366	C₂×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic
367	C₂×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic
368	C₂×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic
369	C₂×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
370	C₂×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
371	C₂×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
372	C₂×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
373	C₂×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
374	C₂×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
375	C₂×C₄²	C₂³	1	1	yes	characteristic
376	C₂×C₄²	C₂³	1	1	yes	characteristic
377	C₂×C₄²	C₂³	1	1	yes	characteristic
378	C₂×C₄²	C₂³	1	1	yes	characteristic
379	C₂×C₄²	C₂³	1	1	yes	characteristic
380	C₂×C₄²	C₂³	1	1	yes	characteristic
381	C₂×C₄²	C₂³	1	1	yes	characteristic
382	C₄⋊C₈	C₂³	1	1	yes	characteristic
383	C₄⋊C₈	C₂³	1	1	yes	characteristic
384	C₄⋊C₈	C₂³	1	1	yes	characteristic
385	C₄⋊C₈	C₂³	1	1	yes	characteristic
386	C₄⋊C₈	C₂³	1	1	yes	characteristic
387	C₄⋊C₈	C₂³	1	1	yes	characteristic
388	C₄⋊C₈	C₂³	1	1	yes	characteristic
389	C₄⋊C₈	C₂³	1	1	yes	characteristic
390	C₄⋊C₈	C₂³	1	1	yes	characteristic
391	C₄⋊C₈	C₂³	1	1	yes	characteristic
392	C₄⋊C₈	C₂³	1	1	yes	characteristic
393	C₄⋊C₈	C₂³	1	1	yes	characteristic
394	C₄⋊C₈	C₂³	1	1	yes	characteristic
395	C₄⋊C₈	C₂³	1	1	yes	characteristic
396	C₄⋊C₈	C₂³	1	1	yes	characteristic
397	C₄⋊C₈	C₂³	1	1	yes	characteristic
398	C₄⋊C₈	C₂³	1	1	yes	characteristic
399	C₄⋊C₈	C₂³	1	1	yes	characteristic
400	C₄⋊C₈	C₂³	1	1	yes	characteristic
401	C₄⋊C₈	C₂³	1	1	yes	characteristic
402	C₄⋊C₈	C₂³	1	1	yes	characteristic
403	C₄⋊C₈	C₂³	1	1	yes	characteristic
404	C₄⋊C₈	C₂³	1	1	yes	characteristic
405	C₄⋊C₈	C₂³	1	1	yes	characteristic
406	C₄⋊C₈	C₂³	1	1	yes	characteristic
407	C₄⋊C₈	C₂³	1	1	yes	characteristic
408	C₄⋊C₈	C₂³	1	1	yes	characteristic
409	C₄⋊C₈	C₂³	1	1	yes	characteristic
410	C₄⋊C₈	C₂³	1	1	yes	characteristic
411	C₄⋊C₈	C₂³	1	1	yes	characteristic
412	C₄⋊C₈	C₂³	1	1	yes	characteristic
413	C₄⋊C₈	C₂³	1	1	yes	characteristic
414	C₂²⋊C₈	C₂³	1	1	yes	characteristic
415	C₂²⋊C₈	C₂³	1	1	yes	characteristic
416	C₂²⋊C₈	C₂³	1	1	yes	characteristic
417	C₂²⋊C₈	C₂³	1	1	yes	characteristic
418	C₂²⋊C₈	C₂³	1	1	yes	characteristic
419	C₂²⋊C₈	C₂³	1	1	yes	characteristic
420	C₂²⋊C₈	C₂³	1	1	yes	characteristic
421	C₂²⋊C₈	C₂³	1	1	yes	characteristic
422	C₂²⋊C₈	C₂³	1	1	yes	characteristic
423	C₂²⋊C₈	C₂³	1	1	yes	characteristic
424	C₂²⋊C₈	C₂³	1	1	yes	characteristic
425	C₂²⋊C₈	C₂³	1	1	yes	characteristic
426	C₂²⋊C₈	C₂³	1	1	yes	characteristic
427	C₂²⋊C₈	C₂³	1	1	yes	characteristic
428	C₂²⋊C₈	C₂³	1	1	yes	characteristic
429	C₂²⋊C₈	C₂³	1	1	yes	characteristic
430	C₂²⋊C₈	C₂³	1	1	yes	characteristic
431	C₂²⋊C₈	C₂³	1	1	yes	characteristic
432	C₂²⋊C₈	C₂³	1	1	yes	characteristic
433	C₂²⋊C₈	C₂³	1	1	yes	characteristic
434	C₂²⋊C₈	C₂³	1	1	yes	characteristic
435	C₂²⋊C₈	C₂³	1	1	yes	characteristic
436	C₂²⋊C₈	C₂³	1	1	yes	characteristic
437	C₂²⋊C₈	C₂³	1	1	yes	characteristic
438	C₂²⋊C₈	C₂³	1	1	yes	characteristic
439	C₂²⋊C₈	C₂³	1	1	yes	characteristic
440	C₂²⋊C₈	C₂³	1	1	yes	characteristic
441	C₂²⋊C₈	C₂³	1	1	yes	characteristic
442	C₂²⋊C₈	C₂³	1	1	yes	characteristic
443	C₂²⋊C₈	C₂³	1	1	yes	characteristic
444	C₂²⋊C₈	C₂³	1	1	yes	characteristic
445	C₂²⋊C₈	C₂³	1	1	yes	characteristic
446	#97	C₂³	1	1	yes	characteristic
447	#97	C₂³	1	1	yes	characteristic
448	#97	C₂³	1	1	yes	characteristic
449	#97	C₂³	1	1	yes	characteristic
450	#97	C₂³	1	1	yes	characteristic
451	#97	C₂³	1	1	yes	characteristic
452	#97	C₂³	1	1	yes	characteristic
453	#97	C₂³	1	1	yes	characteristic
454	#97	C₂³	1	1	yes	characteristic
455	#97	C₂³	1	1	yes	characteristic
456	#97	C₂³	1	1	yes	characteristic
457	#97	C₂³	1	1	yes	characteristic
458	#97	C₂³	1	1	yes	characteristic
459	#97	C₂³	1	1	yes	characteristic
460	#97	C₂³	1	1	yes	characteristic
461	#97	C₂³	1	1	yes	characteristic
462	#97	C₂³	1	1	yes	characteristic
463	#97	C₂³	1	1	yes	characteristic
464	C₄×C₈	C₂³	1	1	yes	characteristic
465	C₄×C₈	C₂³	1	1	yes	characteristic
466	C₄×C₈	C₂³	1	1	yes	characteristic
467	C₄×C₈	C₂³	1	1	yes	characteristic
468	C₄×C₈	C₂³	1	1	yes	characteristic
469	C₄×C₈	C₂³	1	1	yes	characteristic
470	C₄×C₈	C₂³	1	1	yes	characteristic
471	C₄×C₈	C₂³	1	1	yes	characteristic
472	C₄×C₈	C₂³	1	1	yes	characteristic
473	C₄×C₈	C₂³	1	1	yes	characteristic
474	C₄×C₈	C₂³	1	1	yes	characteristic
475	C₄×C₈	C₂³	1	1	yes	characteristic
476	C₄×C₈	C₂³	1	1	yes	characteristic
477	C₄×C₈	C₂³	1	1	yes	characteristic
478	C₂⁴	C₂²×C₄	1	1	yes	characteristic
479	C₂⁴	C₂²×C₄	1	1	yes	characteristic
480	#41	—	4	1	no	—
481	#41	—	4	1	no	—
482	#41	—	4	2	no	—
483	#41	—	4	2	no	—
484	C₂×Q₈	C₂²×C₄	1	1	yes	characteristic
485	C₂×Q₈	C₂²×C₄	1	1	yes	characteristic
486	C₂×Q₈	C₂²×C₄	1	1	yes	characteristic
487	C₂×Q₈	C₂²×C₄	1	1	yes	characteristic
488	C₂×Q₈	C₂²×C₄	1	1	yes	characteristic
489	C₂×D₄	—	4	2	no	—
490	C₂×D₄	C₂²×C₄	1	1	yes	characteristic
491	C₂×D₄	C₂²×C₄	1	1	yes	characteristic
492	C₂×D₄	C₂²×C₄	1	1	yes	characteristic
493	C₂×D₄	C₂²×C₄	1	1	yes	characteristic
494	C₂×D₄	C₂²×C₄	1	1	yes	characteristic
495	C₂×D₄	C₂²×C₄	1	1	yes	characteristic
496	C₂×D₄	C₂²×C₄	1	1	yes	characteristic
497	C₂×D₄	C₂²×C₄	1	1	yes	characteristic
498	C₂×D₄	C₂²×C₄	1	1	yes	characteristic
499	C₂×D₄	C₂²×C₄	1	1	yes	characteristic
500	C₂×D₄	C₂²×C₄	1	1	yes	characteristic
501	C₂×D₄	C₂²×C₄	1	1	yes	characteristic
502	C₂×D₄	C₂²×C₄	1	1	yes	characteristic
503	C₂×D₄	C₂²×C₄	1	1	yes	characteristic
504	C₂×D₄	C₂²×C₄	1	1	yes	characteristic
505	C₂²×C₄	—	4	1	no	—
506	C₂²×C₄	—	4	1	no	—
507	C₂²×C₄	—	4	1	no	—
508	C₂²×C₄	—	4	1	no	—
509	C₂²×C₄	C₂²×C₄	1	1	yes	characteristic
510	C₂²×C₄	C₂²×C₄	1	1	yes	characteristic
511	C₂²×C₄	C₂²×C₄	1	1	yes	characteristic
512	C₂²×C₄	C₂²×C₄	1	1	yes	characteristic
513	C₂²×C₄	C₂²×C₄	1	1	yes	characteristic
514	C₂²×C₄	C₂²×C₄	1	1	yes	characteristic
515	C₂²×C₄	C₂²×C₄	1	1	yes	characteristic
516	C₂²×C₄	C₂²×C₄	1	1	yes	characteristic
517	C₂²×C₄	C₂²×C₄	1	1	yes	characteristic
518	C₂²×C₄	C₂²×C₄	1	1	yes	characteristic
519	C₂²×C₄	C₂²×C₄	1	1	yes	characteristic
520	C₂²×C₄	C₂²×C₄	1	1	yes	characteristic
521	C₂²×C₄	C₂²×C₄	1	1	yes	characteristic
522	C₂²×C₄	C₂²×C₄	1	1	yes	characteristic
523	C₂²×C₄	C₂²×C₄	1	1	yes	characteristic
524	C₂²×C₄	C₂²×C₄	1	1	yes	characteristic
525	C₂²×C₄	C₂²×C₄	1	1	yes	characteristic
526	C₂²×C₄	C₂²×C₄	1	1	yes	characteristic
527	C₂²×C₄	C₂²×C₄	1	1	yes	characteristic
528	C₂²×C₄	C₂²×C₄	1	1	yes	characteristic
529	C₂²×C₄	C₂⁴	1	1	yes	characteristic
530	C₂²×C₄	C₂⁴	1	1	yes	characteristic
531	C₂²×C₄	C₂⁴	1	1	yes	characteristic
532	C₂²×C₄	C₂⁴	1	1	yes	characteristic
533	C₂²×C₄	C₂⁴	1	1	yes	characteristic
534	C₂²×C₄	C₂⁴	1	1	yes	characteristic
535	C₂²×C₄	C₂⁴	1	1	yes	characteristic
536	M₁₆	—	4	1	no	—
537	M₁₆	—	4	1	no	—
538	M₁₆	—	4	1	no	—
539	M₁₆	—	4	1	no	—
540	M₁₆	—	4	1	no	—
541	M₁₆	—	4	1	no	—
542	M₁₆	—	4	1	no	—
543	M₁₆	—	4	1	no	—
544	M₁₆	—	4	1	no	—
545	M₁₆	—	4	1	no	—
546	M₁₆	—	4	1	no	—
547	M₁₆	—	4	1	no	—
548	C₂×C₈	—	4	1	no	—
549	C₂×C₈	—	4	1	no	—
550	C₂×C₈	—	4	1	no	—
551	C₂×C₈	—	4	1	no	—
552	C₂×C₈	—	4	1	no	—
553	C₂×C₈	—	4	1	no	—
554	C₂×C₈	—	4	1	no	—
555	C₂×C₈	—	4	1	no	—
556	C₂×C₈	—	4	1	no	—
557	C₂×C₈	—	4	1	no	—
558	C₂×C₈	—	4	1	no	—
559	C₂×C₈	—	4	1	no	—
560	C₂×C₈	C₂⁴	1	1	yes	characteristic
561	C₂×C₈	C₂⁴	1	1	yes	characteristic
562	C₂×C₈	C₂⁴	1	1	yes	characteristic
563	C₂×C₈	C₂⁴	1	1	yes	characteristic
564	C₂×C₈	C₂⁴	1	1	yes	characteristic
565	C₂×C₈	C₂⁴	1	1	yes	characteristic
566	C₂×C₈	C₂⁴	1	1	yes	characteristic
567	C₂×C₈	C₂⁴	1	1	yes	characteristic
568	C₂×C₈	C₂⁴	1	1	yes	characteristic
569	C₂×C₈	C₂⁴	1	1	yes	characteristic
570	C₂×C₈	C₂⁴	1	1	yes	characteristic
571	C₂×C₈	C₂⁴	1	1	yes	characteristic
572	C₂×C₈	C₂⁴	1	1	yes	characteristic
573	C₂×C₈	C₂⁴	1	1	yes	characteristic
574	C₂×C₈	C₂⁴	1	1	yes	characteristic
575	C₂×C₈	C₂⁴	1	1	yes	characteristic
576	C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
577	C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
578	C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
579	C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
580	C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
581	C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
582	C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
583	C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
584	C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
585	C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
586	C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
587	C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
588	C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
589	C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
590	C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
591	C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
592	C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
593	C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
594	C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
595	C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
596	C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
597	C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
598	C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
599	C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
600	C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
601	C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
602	C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
603	C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
604	C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
605	C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
606	C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
607	C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
608	C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
609	C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
610	C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
611	C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
612	C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
613	C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
614	C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
615	C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
616	C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
617	C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
618	C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
619	C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
620	C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
621	C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
622	C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
623	C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
624	C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
625	C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
626	C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
627	C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
628	C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
629	C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
630	C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
631	C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
632	C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
633	C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
634	C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
635	C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
636	C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
637	C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
638	C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
639	C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
640	C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
641	C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
642	C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
643	C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
644	C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
645	C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
646	C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
647	C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
648	C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
649	C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
650	C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
651	C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
652	C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
653	C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
654	C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
655	C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
656	C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
657	C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
658	C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
659	C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
660	C₄²	C₂²×C₄	1	1	yes	characteristic
661	C₄²	C₂²×C₄	1	1	yes	characteristic
662	C₄²	C₂²×C₄	1	1	yes	characteristic
663	C₄²	C₂²×C₄	1	1	yes	characteristic
664	C₄²	C₂²×C₄	1	1	yes	characteristic
665	C₄²	C₂²×C₄	1	1	yes	characteristic
666	C₄²	C₂²×C₄	1	1	yes	characteristic
667	C₄²	C₂²×C₄	1	1	yes	characteristic
668	C₄²	C₂²×C₄	1	1	yes	characteristic
669	C₄²	C₂²×C₄	1	1	yes	characteristic
670	C₄²	C₂²×C₄	1	1	yes	characteristic
671	C₄²	C₂²×C₄	1	1	yes	characteristic
672	C₄²	C₂²×C₄	1	1	yes	characteristic
673	C₄²	C₂²×C₄	1	1	yes	characteristic
674	C₄²	C₂⁴	1	1	yes	characteristic
675	C₄²	C₂⁴	1	1	yes	characteristic
676	C₄²	C₂⁴	1	1	yes	characteristic
677	C₄²	C₂⁴	1	1	yes	characteristic
678	C₄²	C₂⁴	1	1	yes	characteristic
679	C₄²	C₂⁴	1	1	yes	characteristic
680	C₄²	C₂⁴	1	1	yes	characteristic
681	C₄²	C₂⁴	1	1	yes	characteristic
682	C₂³	—	2	2	no	—
683	C₂³	—	4	1	no	—
684	C₂³	—	4	1	no	—
685	C₂³	—	4	1	no	—
686	C₂³	—	4	1	no	—
687	C₂³	—	4	1	no	—
688	C₂³	C₂³×C₄	1	1	yes	characteristic
689	C₂³	C₂³×C₄	1	1	yes	characteristic
690	C₂³	C₂³×C₄	1	1	yes	characteristic
691	C₂³	C₂³×C₄	1	1	yes	characteristic
692	C₂³	C₂³×C₄	1	1	yes	characteristic
693	C₂³	C₂³×C₄	1	1	yes	characteristic
694	C₂³	C₂³×C₄	1	1	yes	characteristic
695	Q₈	—	4	1	no	—
696	Q₈	—	4	1	no	—
697	Q₈	—	4	1	no	—
698	Q₈	—	4	1	no	—
699	Q₈	—	4	1	no	—
700	D₄	—	2	2	no	—
701	D₄	—	2	2	no	—
702	D₄	—	2	2	no	—
703	D₄	—	2	2	no	—
704	D₄	—	4	1	no	—
705	D₄	—	4	1	no	—
706	D₄	—	4	1	no	—
707	D₄	—	4	1	no	—
708	D₄	—	4	1	no	—
709	D₄	—	4	1	no	—
710	D₄	—	4	1	no	—
711	D₄	—	4	1	no	—
712	D₄	—	4	1	no	—
713	D₄	—	4	1	no	—
714	D₄	—	4	1	no	—
715	C₂×C₄	—	2	2	no	—
716	C₂×C₄	—	2	2	no	—
717	C₂×C₄	—	2	1	no	—
718	C₂×C₄	—	2	1	no	—
719	C₂×C₄	—	2	1	no	—
720	C₂×C₄	—	2	1	no	—
721	C₂×C₄	—	2	1	no	—
722	C₂×C₄	—	2	1	no	—
723	C₂×C₄	—	2	1	no	—
724	C₂×C₄	—	2	1	no	—
725	C₂×C₄	—	2	1	no	—
726	C₂×C₄	—	2	1	no	—
727	C₂×C₄	—	2	1	no	—
728	C₂×C₄	—	2	1	no	—
729	C₂×C₄	—	2	1	no	—
730	C₂×C₄	—	2	1	no	—
731	C₂×C₄	—	4	1	no	—
732	C₂×C₄	—	4	1	no	—
733	C₂×C₄	—	4	1	no	—
734	C₂×C₄	—	4	1	no	—
735	C₂×C₄	—	4	1	no	—
736	C₂×C₄	—	4	1	no	—
737	C₂×C₄	—	4	1	no	—
738	C₂×C₄	—	4	1	no	—
739	C₂×C₄	—	4	1	no	—
740	C₂×C₄	—	4	1	no	—
741	C₂×C₄	—	4	1	no	—
742	C₂×C₄	—	4	1	no	—
743	C₂×C₄	—	4	1	no	—
744	C₂×C₄	—	4	1	no	—
745	C₂×C₄	—	4	1	no	—
746	C₂×C₄	—	4	1	no	—
747	C₂×C₄	—	4	1	no	—
748	C₂×C₄	—	4	1	no	—
749	C₂×C₄	C₂³×C₄	1	1	yes	characteristic
750	C₂×C₄	C₂³×C₄	1	1	yes	characteristic
751	C₂×C₄	C₂³×C₄	1	1	yes	characteristic
752	C₂×C₄	C₂³×C₄	1	1	yes	characteristic
753	C₂×C₄	C₂³×C₄	1	1	yes	characteristic
754	C₂×C₄	C₂³×C₄	1	1	yes	characteristic
755	C₂×C₄	C₂³×C₄	1	1	yes	characteristic
756	C₂×C₄	C₂³×C₄	1	1	yes	characteristic
757	C₂×C₄	C₂³×C₄	1	1	yes	characteristic
758	C₂×C₄	C₂³×C₄	1	1	yes	characteristic
759	C₂×C₄	C₂³×C₄	1	1	yes	characteristic
760	C₂×C₄	C₂³×C₄	1	1	yes	characteristic
761	C₂×C₄	C₂³×C₄	1	1	yes	characteristic
762	C₂×C₄	C₂³×C₄	1	1	yes	characteristic
763	C₂×C₄	C₂³×C₄	1	1	yes	characteristic
764	C₂×C₄	C₂³×C₄	1	1	yes	characteristic
765	C₂×C₄	C₂³×C₄	1	1	yes	characteristic
766	C₂×C₄	C₂³×C₄	1	1	yes	characteristic
767	C₂×C₄	C₂³×C₄	1	1	yes	characteristic
768	C₂×C₄	C₂³×C₄	1	1	yes	characteristic
769	C₂×C₄	C₂³×C₄	1	1	yes	characteristic
770	C₂×C₄	C₂³×C₄	1	1	yes	characteristic
771	C₂×C₄	C₂³×C₄	1	1	yes	characteristic
772	C₂×C₄	C₂⁵	1	1	yes	characteristic
773	C₈	—	2	1	no	—
774	C₈	—	2	1	no	—
775	C₈	—	2	1	no	—
776	C₈	—	2	1	no	—
777	C₈	—	2	1	no	—
778	C₈	—	2	1	no	—
779	C₈	—	2	1	no	—
780	C₈	—	2	1	no	—
781	C₈	—	2	1	no	—
782	C₈	—	2	1	no	—
783	C₈	—	2	1	no	—
784	C₈	—	2	1	no	—
785	C₈	—	2	1	no	—
786	C₈	—	2	1	no	—
787	C₈	—	2	1	no	—
788	C₈	—	2	1	no	—
789	C₂²	—	2	1	no	—
790	C₂²	—	2	1	no	—
791	C₂²	—	2	1	no	—
792	C₂²	—	2	1	no	—
793	C₂²	—	2	1	no	—
794	C₂²	—	2	1	no	—
795	C₂²	—	2	1	no	—
796	C₂²	—	2	1	no	—
797	C₂²	—	2	1	no	—
798	C₂²	—	2	1	no	—
799	C₂²	—	2	1	no	—
800	C₂²	—	2	1	no	—
801	C₂²	—	2	1	no	—
802	C₂²	—	2	1	no	—
803	C₂²	—	2	1	no	—
804	C₂²	—	2	1	no	—
805	C₂²	—	2	1	no	—
806	C₂²	—	2	1	no	—
807	C₂²	—	2	1	no	—
808	C₂²	—	2	1	no	—
809	C₂²	—	8	2	no	—
810	C₂²	—	8	2	no	—
811	C₂²	#568	1	2	yes	—
812	C₂²	C₂⁴×C₄	1	1	yes	characteristic
813	C₄	—	2	1	no	—
814	C₄	—	2	1	no	—
815	C₄	—	2	1	no	—
816	C₄	—	2	1	no	—
817	C₄	—	2	1	no	—
818	C₄	—	2	1	no	—
819	C₄	—	2	1	no	—
820	C₄	—	2	1	no	—
821	C₄	—	2	1	no	—
822	C₄	—	2	1	no	—
823	C₄	—	2	1	no	—
824	C₄	—	2	1	no	—
825	C₄	—	2	1	no	—
826	C₄	—	2	1	no	—
827	C₄	—	2	1	no	—
828	C₄	—	2	1	no	—
829	C₄	—	2	1	no	—
830	C₄	—	2	1	no	—
831	C₄	—	2	1	no	—
832	C₄	—	2	1	no	—
833	C₄	—	2	1	no	—
834	C₄	—	2	1	no	—
835	C₄	—	2	1	no	—
836	C₄	#585	1	1	yes	characteristic
837	C₄	#585	1	1	yes	characteristic
838	C₂	—	2	2	no	—
839	C₂	—	4	1	no	—
840	C₂	—	4	1	no	—
841	C₂	—	4	1	no	—
842	C₂	—	4	1	no	—
843	C₂	—	4	1	no	—
844	C₂	—	4	1	no	—
845	C₂	#3428	1	1	yes	characteristic
846	C₂	C₂×#568	1	1	yes	characteristic
847	C₂	#3573	1	1	yes	characteristic

	subgroup	G/H
center, Frattini, cosocle	C₂×C₄	C₂⁵
commutator, socle	C₂²	C₂⁴×C₄
prime radical	#3475	C₂
LCS	G ▷ C₂² ▷ C₁
UCS	C₁ ◁ C₂×C₄ ◁ G
LECS	G ▷ C₂×C₄ ▷ C₂ ▷ C₁

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

N	H ≅ G/N	type
2. #2995	C₂	semidirect
3. #2995	C₂	semidirect
4. #2994	C₂	semidirect
5. #2993	C₂	semidirect
6. #2992	C₂	semidirect
7. #2992	C₂	semidirect
8. #2990	C₂	semidirect
9. #2989	C₂	semidirect
10. #2987	C₂	semidirect
11. #2985	C₂	semidirect
12. #2978	C₂	semidirect
13. #2977	C₂	semidirect
14. #2976	C₂	semidirect
15. #2976	C₂	semidirect
16. #2974	C₂	semidirect
17. #2973	C₂	semidirect
18. #2970	C₂	semidirect
19. #2969	C₂	semidirect
20. #2968	C₂	semidirect
21. #2968	C₂	semidirect
22. #2967	C₂	semidirect
23. #2967	C₂	semidirect
24. #2966	C₂	semidirect
25. #2965	C₂	semidirect
26. #2925	C₂	semidirect
27. #2924	C₂	semidirect
28. #2924	C₂	semidirect
29. #2923	C₂	semidirect
30. #2921	C₂	semidirect
31. C₂×#433	C₂	semidirect
63. #446	C₂²	semidirect
64. #446	C₂²	semidirect
65. #446	C₂²	semidirect
66. #446	C₂²	semidirect
67. #446	C₂²	semidirect
68. #446	C₂²	semidirect
69. #446	C₂²	semidirect
70. #446	C₂²	semidirect
71. #446	C₂²	semidirect
72. #446	C₂²	semidirect
73. #446	C₂²	semidirect
74. #446	C₂²	semidirect
75. #446	C₂²	semidirect
76. #446	C₂²	semidirect
77. C₈×Q₈	C₂²	semidirect
78. C₈×Q₈	C₂²	semidirect
81. #436	C₂²	semidirect
82. #436	C₂²	semidirect
83. #436	C₂²	semidirect
84. #436	C₂²	semidirect
85. #436	C₂²	semidirect
86. #436	C₂²	semidirect
87. #436	C₂²	semidirect
88. #436	C₂²	semidirect
101. #435	C₂²	semidirect
102. #435	C₂²	semidirect
103. #435	C₂²	semidirect
104. #435	C₂²	semidirect
105. #435	C₂²	semidirect
106. #435	C₂²	semidirect
107. #435	C₂²	semidirect
108. #435	C₂²	semidirect
109. #435	C₂²	semidirect
110. #435	C₂²	semidirect
111. #435	C₂²	semidirect
112. #435	C₂²	semidirect
113. #435	C₂²	semidirect
114. #435	C₂²	semidirect
115. #435	C₂²	semidirect
116. #435	C₂²	semidirect
119. C₈×D₄	C₂²	semidirect
120. C₈×D₄	C₂²	semidirect
121. C₈×D₄	C₂²	semidirect
122. C₈×D₄	C₂²	semidirect
123. C₈×D₄	C₂²	semidirect
124. C₈×D₄	C₂²	semidirect
125. C₈×D₄	C₂²	semidirect
126. C₈×D₄	C₂²	semidirect
139. #433	C₂²	semidirect
140. #433	C₂²	semidirect
141. #433	C₂²	semidirect
142. #433	C₂²	semidirect
143. #433	C₂²	semidirect
144. #433	C₂²	semidirect
145. #433	C₂²	semidirect
146. #433	C₂²	semidirect
147. #433	C₂²	semidirect
148. #433	C₂²	semidirect
149. #433	C₂²	semidirect
150. #433	C₂²	semidirect
154. #432	C₂²	semidirect
155. #432	C₂²	semidirect
156. #432	C₂²	semidirect
157. #432	C₂²	semidirect
158. #432	C₂²	semidirect
159. #432	C₂²	semidirect
160. #432	C₂²	semidirect
162. #431	C₂²	semidirect
163. #431	C₂²	semidirect
164. #431	C₂²	semidirect
165. #431	C₂²	semidirect
166. #431	C₂²	semidirect
167. #424	C₂²	semidirect
168. #424	C₂²	semidirect
169. #424	C₂²	semidirect
170. #424	C₂²	semidirect
171. #424	C₂²	semidirect
172. #424	C₂²	semidirect
173. #423	C₂²	semidirect
174. #423	C₂²	semidirect
175. #423	C₂²	semidirect
176. C₂×C₄⋊C₈	C₂²	semidirect
177. C₂×C₄⋊C₈	C₂²	semidirect
178. C₂×C₄⋊C₈	C₂²	semidirect
191. #405	C₂²	semidirect
192. #405	C₂²	semidirect
193. #405	C₂²	semidirect
194. #405	C₂²	semidirect
195. #405	C₂²	semidirect
196. #405	C₂²	semidirect
197. C₄×M₁₆	C₂²	semidirect
198. C₄×M₁₆	C₂²	semidirect
199. C₄×M₁₆	C₂²	semidirect
200. C₂×#97	C₂²	semidirect
201. C₂×#97	C₂²	semidirect
202. C₂×C₄×C₈	C₂²	semidirect

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroup	index
#3475	2
#2995	2
#2994	2
#2993	2
#2992	2
#2990	2
#2989	2
#2987	2
#2985	2
#2978	2
#2977	2
#2976	2
#2974	2
#2973	2
#2970	2
#2969	2
#2968	2
#2967	2
#2966	2
#2965	2
#2925	2
#2924	2
#2923	2
#2921	2
C₂×#433	2